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234370431264 = 25319809315877
BaseRepresentation
bin1101101001000110010…
…0001111100100100000
3211101221200022111111010
43122101210033210200
512314442312300024
6255400203420520
722634626536654
oct3322144174440
9741850274433
10234370431264
1190439aa89a2
123950a224740
1319140c93678
14b4b4b48a64
15616aae5b29
hex369190f920

234370431264 has 96 divisors (see below), whose sum is σ = 647723321280. Its totient is φ = 73997908992.

The previous prime is 234370431257. The next prime is 234370431301. The reversal of 234370431264 is 462134073432.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14753694 + ... + 14769570.

It is an arithmetic number, because the mean of its divisors is an integer number (6747117930).

Almost surely, 2234370431264 is an apocalyptic number.

234370431264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234370431264 is an abundant number, since it is smaller than the sum of its proper divisors (413352890016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234370431264 is a wasteful number, since it uses less digits than its factorization.

234370431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24002 (or 23994 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 39.

The spelling of 234370431264 in words is "two hundred thirty-four billion, three hundred seventy million, four hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 8093 15877 16186 24279 31754 32372 47631 48558 63508 64744 95262 97116 127016 129488 153767 190524 194232 254032 258976 301663 307534 381048 388464 461301 508064 603326 615068 762096 776928 904989 922602 1206652 1230136 1524192 1809978 1845204 2413304 2460272 3619956 3690408 4826608 4920544 7239912 7380816 9653216 14479824 14761632 28959648 128492561 256985122 385477683 513970244 770955366 1027940488 1541910732 2055880976 2441358659 3083821464 4111761952 4882717318 6167642928 7324075977 9765434636 12335285856 14648151954 19530869272 29296303908 39061738544 58592607816 78123477088 117185215632 234370431264